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10424110344 = 23331371073539
BaseRepresentation
bin10011011010101001…
…10100110100001000
3222220110210200010220
421231110310310020
5132322033012334
64442212510040
7516214322154
oct115524646410
928813720126
1010424110344
11446a15842a
12202b01b320
13ca182103b
1470c602064
15410235449
hex26d534d08

10424110344 has 128 divisors (see below), whose sum is σ = 27894067200. Its totient is φ = 3240241920.

The previous prime is 10424110253. The next prime is 10424110351. The reversal of 10424110344 is 44301142401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2943727 + ... + 2947265.

It is an arithmetic number, because the mean of its divisors is an integer number (217922400).

Almost surely, 210424110344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424110344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13947033600).

10424110344 is an abundant number, since it is smaller than the sum of its proper divisors (17469956856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10424110344 is a wasteful number, since it uses less digits than its factorization.

10424110344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10424110344 its reverse (44301142401), we get a palindrome (54725252745).

The spelling of 10424110344 in words is "ten billion, four hundred twenty-four million, one hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 107 111 124 148 186 214 222 248 296 321 372 428 444 642 744 856 888 1147 1284 2294 2568 3317 3441 3539 3959 4588 6634 6882 7078 7918 9176 9951 10617 11877 13268 13764 14156 15836 19902 21234 23754 26536 27528 28312 31672 39804 42468 47508 79608 84936 95016 109709 122729 130943 219418 245458 261886 329127 368187 378673 392829 438836 490916 523772 658254 736374 757346 785658 877672 981832 1047544 1136019 1316508 1472748 1514692 1571316 2272038 2633016 2945496 3029384 3142632 4059233 4544076 8118466 9088152 11738863 12177699 14010901 16236932 23477726 24355398 28021802 32473864 35216589 42032703 46955452 48710796 56043604 70433178 84065406 93910904 97421592 112087208 140866356 168130812 281732712 336261624 434337931 868675862 1303013793 1737351724 2606027586 3474703448 5212055172 10424110344